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math.NA2026
Constructive Tchakaloff results and well-conditioned quadrature through randomized least squares
Filip Bělík, Akil Narayan, John Turnage
We consider using randomized least squares to construct quadrature rules exact on a subspace of functions. Using new conditions that we call relative admissibility and reference we…
math.NA2025
Greedy Rational Approximation for Frequency-Domain Model Reduction of Parametric LTI Systems
Filip Bělík, Yanlai Chen, Akil Narayan
We investigate model reduction of parametric linear time-invariant (LTI) dynamical systems. When posed in the frequency domain, this problem can be formulated as seeking a low-orde…
math.NA2025
Efficient and Robust Carathéodory-Steinitz Pruning of Positive Discrete Measures
Filip Bělík, Jesse Chan, Akil Narayan
In many applications, one seeks to approximate integration against a positive measure of interest by a positive discrete measure: a numerical quadrature rule with positive weights.…